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Finding the Fourth Proportional to 10,287.52, 15,432.01 and 5,092

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Solution

The fourth proportional to 10,287.52, 15,432.01 and 5,092 is: 7,638.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.52 : 15,432.01 = 5,092 : x
  2. Step 2: Convert to fraction form
    10,287.52/15,432.01 = 5,092/x
  3. Step 3: Cross multiply
    10,287.52x = 15,432.01 × 5,092
  4. Step 4: Simplify right side
    10,287.52x = 78,579,769.46
  5. Step 5: Solve for x
    x = 78,579,769.46/10,287.52
  6. Step 6: Final answer
    x = 7,638.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.